document.write( "Question 22964: HELP =) !\r
\n" ); document.write( "\n" ); document.write( "resolving the Question 2570 (p200 - 250) : log of 9 to the base square root of x - log of 3 to the base x = 9 + 6 log of x to the base square root of 3
\n" ); document.write( "a tutor found x = 3^(1/4) or x = 1/3
\n" ); document.write( "I only found one answer x = 3^(1/4) \r
\n" ); document.write( "\n" ); document.write( "Who is right ? And where is the (my?) flaw ?
\n" ); document.write( "Thanks a lot !!!\r
\n" ); document.write( "\n" ); document.write( "Here is my answer :\r
\n" ); document.write( "\n" ); document.write( "logV\"\"x(9) - logx(3) = 9 + 6logV\"\"3(x)
\n" ); document.write( "(logx 9) / (logx V\"\"x) - logx 3 = 9 + 6( (logx x) / (logx V\"\"3) )
\n" ); document.write( "(logx 9) / ( (logx x) / 2 ) - logx 3 = 9 + 6( 1 / ( (logx 3) / 2 ) )
\n" ); document.write( "(logx 9) / ( (logx x) / 2 ) - logx 3 = 9 + 6 / ( (logx 3) / 2 )
\n" ); document.write( "2logx 9 - logx 3 = 9 + 6 ( 2 / logx 3 )
\n" ); document.write( "2logx 9 - logx 3 = 9 + 12 / logx 3
\n" ); document.write( "logx 3 ( 2logx 9 - logx 3 - 9 ) = 12
\n" ); document.write( "logx 3 ( 4logx 3 - logx 3 - 9 ) = 12
\n" ); document.write( "logx 3 ( 3logx 3 - 9 ) = 12
\n" ); document.write( "3(logx 3)^2 - 9logx 3 = 12
\n" ); document.write( "(logx 3)^2 - 3logx 3 = 4
\n" ); document.write( "logx 3 - 3 = 4 / (logx 3)
\n" ); document.write( "logx 3 - 3 = 1/4 logx 3
\n" ); document.write( "logx 3 - 3 = logx 3^(1/4)
\n" ); document.write( "logx 3 - logx 3^(1/4) = 3
\n" ); document.write( "logx (3/3^(1/4) ) = 3
\n" ); document.write( "x^3 = 3/3^(1/4)
\n" ); document.write( "x^3 = 3^(3/4)
\n" ); document.write( "x^3 = 3^( (1/4) * 3 )
\n" ); document.write( "x^3 = ( 3^(1/4) )^3
\n" ); document.write( "x = 3^(1/4) \n" ); document.write( "
Algebra.Com's Answer #853487 by MathTherapy(10699)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "HELP =) !\r\n" );
document.write( "\r\n" );
document.write( "resolving the Question 2570 (p200 - 250) : log of 9 to the base square root of x - log of 3 to\r\n" );
document.write( "the base x = 9 + 6 log of x to the base square root of 3 a tutor found x = 3^(1/4) or x = 1/3\r\n" );
document.write( "I only found one answer x = 3^(1/4) \r\n" );
document.write( "\r\n" );
document.write( "Who is right ? And where is the (my?) flaw ?\r\n" );
document.write( "Thanks a lot !!!\r\n" );
document.write( "\r\n" );
document.write( "Here is my answer :\r\n" );
document.write( "\r\n" );
document.write( "logV\"\"x(9) - logx(3) = 9 + 6logV\"\"3(x)                       \r\n" );
document.write( "(logx 9) / (logx V\"\"x) - logx 3 = 9 + 6( (logx x) / (logx V\"\"3) )       \r\n" );
document.write( "(logx 9) / ( (logx x) / 2 ) - logx 3 = 9 + 6( 1 / ( (logx 3) / 2 ) )   \r\n" );
document.write( "(logx 9) / ( (logx x) / 2 ) - logx 3 = 9 + 6 / ( (logx 3) / 2 ) \r\n" );
document.write( "2logx 9 - logx 3 = 9 + 6 ( 2 / logx 3 )       \r\n" );
document.write( "2logx 9 - logx 3 = 9 + 12 / logx 3             \r\n" );
document.write( "logx 3 ( 2logx 9 - logx 3 - 9 ) = 12  \r\n" );
document.write( "logx 3 ( 4logx 3 - logx 3 - 9 ) = 12  \r\n" );
document.write( "logx 3 ( 3logx 3 - 9 ) = 12   \r\n" );
document.write( "3(logx 3)^2 - 9logx 3 = 12     \r\n" );
document.write( "(logx 3)^2 - 3logx 3 = 4\r\n" );
document.write( "logx 3 - 3 = 4 / (logx 3)\r\n" );
document.write( "logx 3 - 3 = 1/4 logx 3\r\n" );
document.write( "logx 3 - 3 = logx 3^(1/4)\r\n" );
document.write( "logx 3 - logx 3^(1/4) = 3\r\n" );
document.write( "logx (3/3^(1/4) ) = 3\r\n" );
document.write( "x^3 = 3/3^(1/4)                              \r\n" );
document.write( "x^3 = 3^(3/4)                  \r\n" );
document.write( "x^3 = 3^( (1/4) * 3 )\r\n" );
document.write( "x^3 = ( 3^(1/4) )^3\r\n" );
document.write( "x = 3^(1/4) \r\n" );
document.write( "\r\n" );
document.write( "Is this: ?\r\n" );
document.write( "\r\n" );
document.write( "Just like the other tutor, I find it difficult to follow your solution. So, it's difficult to point out your flaw(s).\r\n" );
document.write( "\r\n" );
document.write( "Your tutor is correct. There're 2 solutions: \"highlight%28x+=+matrix%282%2C1%2C+%22+%22%2C+3%5E%281%2F4%29%29%29\" and \"highlight%28x+=+3%5E%28-+1%29+=+1%2F3%29\"\r\n" );
document.write( "Is your line 11 \"%28log+%283%2C+%28x%29%29%29%5E2+-+3%2Alog+%283%2C+%28x%29%29+=+4\"   OR   \"%28log+%28x%2C+%283%29%29%29%5E2+-+3%2Alog+%28x%2C+%283%29%29+=+4\"?\r\n" );
document.write( "The correct equation should be: \"4%28log+%283%2C+%28x%29%29%29%5E2+%2B+3%2Alog+%283%2C+%28x%29%29+-+1+=+0\". This'll lead to the 2 CORRECT solutions.
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